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Nondiffusive variational problems with distributional and weak gradient constraints
Advances in Nonlinear Analysis, 2022 In this article, we consider nondiffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space being ...
Antil Harbir +3 more
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An enriched Dual Boundary Element Method for Fracture Mechanics
IOP Conference Series: Materials Science and Engineering, 2010 The direct collocation Boundary Element Method (BEM) has been enriched in the Partition of Unity sense by a set of functions known to describe the displacement field in the immediate vicinity of a crack tip. The Dual BEM approach is adopted to preclude the need for substructuring.
R Simpson, J Trevelyan
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Natural Gas Industry B, 2023 Horizontal well and volume fracturing technology are the key technologies to develop unconventional reservoirs. Tight reservoir is belonging to multi-scale seepage mediaafter fracturing, and theflow of fluid in it is extremely complicated. In this paper,
Zongxiao Ren +6 more
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Application of Natural Element Method in Numerical Simulation of Crack Propagation
Advances in Mechanical Engineering, 2013 The properties of interpolation of nodal data, ease of imposing essential boundary conditions, and the computational efficiency are some of the most important advantages of natural element method based on the non-Sibsonian interpolation over other ...
Wang Weidong +3 more
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Hydrodynamics of an U-shaped OWC device in a two-layer fluid system
Energy Reports, 2022 In this article, the effectiveness of an U-shaped “oscillating water column wave energy converter device (OWC-WEC)” is investigated in a two-layer fluid system. To solve the BVP, the “dual boundary element method” (DBEM) is employed.
Kshma Trivedi, Santanu Koley
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Implementation of dual grid technique in BEM analysis of 3D contact problems
Computer Assisted Methods in Engineering and Science, 2023 The work is devoted to the practical application of dual grids in the boundary element method (BEM). Definitions of dual grids on the plane are given and algorithm constructing dual grid for a given triangulation is described.
Sergey Aleynikov, Alexander Sedaev
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Boundary element dual reciprocity method with overlapping sub-domains [PDF]
WIT Transactions on Modelling and Simulation, 2008 In this paper a numerical approach based on the Boundary Element Method (BEM) with overlapping sub-domains is presented. The approach simplifies the assembly of the equations arising from the BEM sub-domain methods and at the same time reduces the problems with near-singular or singular integrals that may arise in the integral equations.
B. Thanh Tu, V. Popov
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A dual interpolation boundary face method for 3D elasticity [PDF]
, 2020 The dual interpolation boundary face method (DiBFM) proposed recently has been successfully applied to solve various problems in two dimensions. Compared with the conventional boundary element method (BEM), it has been proved that the DiBFM has the ...
Chi, B +5 more
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Boundary element formulation for dynamic analysis of inelastic structures
Computer Assisted Methods in Engineering and Science, 2022 The boundary element formulation for dynamic analysis of inelastic two-dimensional structures subjected to stationary or transient inertial loads is presented. The problem is solved by using simultaneously the displacement and stress integral equations.
Tomasz Czyż, Piotr Fedeliński
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